#### Title

Properties of a finite fully spin-polarized free homogeneous one-dimensional electron gas

#### Document Type

Article

#### Publication Date

1-1-2015

#### Abstract

The homogeneous electron gas model has been quite successful to predict the bulk properties of systems of electrons at various densities. In many occasions, a simplified free homogeneous electron gas model represents a powerful first approximation to a real system. Despite our considerable knowledge on the bulk properties of a homogeneous electron gas, advances in nanoscience and nanotechnology call for a greater effort to understand the opposite limit of small finite systems of electrons with size-dependent properties. In this work, we provide a detailed description of the properties of a finite fully spin-polarized (spinless) free homogeneous one-dimensional electron gas, the simplest of the free homogeneous electron gases. We derive exact analytical results for various quantities such as the one-particle density function, two-particle density function, one-particle density matrix, pair correlation function and energy of finite systems with an arbitrary number of electrons. The results obtained provide a detailed view on how various quantities corresponding to a finite system approach their bulk (thermodynamic limit) value.

#### Recommended Citation

Ciftja, O. (2015). Properties of a finite fully spin-polarized free homogeneous one-dimensional electron gas. Retrieved from https://digitalcommons.pvamu.edu/chemistry-physics-facpubs/198